An Arithmetic Stratification of Polynomial Continued Fractions: Program Statement of the SIARC Series

papanokechi papanokechi

doi:10.5281/zenodo.19885549

April 29, 2026Open Access

An Arithmetic Stratification of Polynomial Continued Fractions: Program Statement of the SIARC Series

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Key Points

To articulate the logical framework of the SIARC series focused on polynomial continued fractions and their classifications.
Defined a four-tier hierarchy including Algebraic, Transcendental, Trans-stratum, and Barrier.
Presented the Trans-Stratum−2/9 Conjecture in a precise format.
Listed open problems and the roles of companion papers in the project.
Established a citable structure for the SIARC series without proving any claims.
Identified each claim as a conjecture or a reference to a related companion paper.
Provided a unified notation system for better coherence across the series.

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Implication

Program statement outlines a framework for mathematical exploration of polynomial continued fractions, indicating the structure and unifying notation.

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papanokechi papanokechi (2026) studied this question.

synapsesocial.com/papers/69f4427a967e944ac55660f9 https://doi.org/10.5281/zenodo.19885549

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An Arithmetic Stratification of Polynomial Continued Fractions: Program Statement of the SIARC Series

Key Points

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Abstract

Discussion

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An Arithmetic Stratification of Polynomial Continued Fractions: Program Statement of the SIARC Series

Key Points

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Implication

Abstract

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